Question

HELP ASAP WILL GIVE BRAINLIEST

Answer 1

Answer:

1) x≠7

2) x≠3 or -7

Step-by-step explanation:

1. The given function is

$f(x) = \frac{1}{x - 7}$

This function is undefined if the denominator is equal to zero .

Therefore the restriction is that:

The denominator is not zero.

$x - 7 \ne0$

$x \ne7$

2) Assuming the second function is

$f(x) = \frac{(x + 7)(x - 9)}{(x - 3)(x + 7)}$

This function is not defined when the denominator is zero.

This implies that:

$(x - 3)(x + 7) \ne0$

The restrictions are:

$x \ne3 \: or \: - 7$